Mathematics Archives

81. A and B enter into partnership with capital as 7:9. At the end of 8 months, A withdraws. If they receive the profits in the ratio of 8:9 find how long B’s capital was used?

A. 6 months

B. 8 months

C. 10 months

D. 7 months

✅ The correct answer is option D. 7 months.

82. The average of first 10 even numbers is___________?

A. 18

B. 22

C. 9

D. 11

✅ The correct answer is option D. 11.

83. The circumferences of two circles are 264 meters and 352 meters. Find the difference between the areas of the larger and the smaller circles.

A. 4192 sq m

B. 4304 sq m

C. 4312 sq m

D. 4360 sq m

✅ The correct answer is option C. 4312 sq m.
Let the radii of the smaller and the larger circles be s m and l m respectively.

84. A can complete a journey in 10 hours. He travels first half of the journey at the rate of 21 km / hr and second half at the rate of 24 km / hr. Find the total journey in km.

A. 220 km

B. 224 km

C. 230 km

D. 234 km

✅ The correct answer is option B. 224 km.

85. Barkat is travelling on his cycle and has calculated to reach point A at 2 P.M. if he travels at 10 kmph; he will reach there at 12 noon if he travels at 15 kmph. At what speed must he travel to reach A at 1 P.M. ?

A. 8 kmph

B. 11 kmph

C. 12 kmph

D. 14 kmph

✅ The correct answer is option C. 12 kmph.

86. The marked price is 10% higher than the cost price. A discount of 10% is given on the marked price, in this kind of sale the seller

A. Bears no loss no gain

B. gains

C. loses 1%

D. None of these

✅ The correct answer is option C. loses 1%.

87. Four car rental agencies A, B, C and D rented a plot for parking their cars during the night. A parked 15 cars for 12 days, B parked 12 cars for 20 days, C parked 18 cars for 18 days and D parked 16 cars for 15 days. If A paid Rs. 1125 as rent for parking his cars, what is the total rent paid by all the four agencies?

A. Rs. 4500

B. Rs. 4800

C. Rs. 5250

D. Rs. 6150

✅ The correct answer is option D. Rs. 6150.

88. The parameter of a square is double the perimeter of a rectangle. The area of the rectangle is 480 sq cm. Find the area of the square.

A. 200 sq cm

B. 72 sq cm

C. 162 sq cm

D. Cannot be determined

✅ The correct answer is option D. Cannot be determined.
Let the side of the square be a cm. Let the length and the breadth of the rectangle be l cm and b cm respectively.

89. The cost of 10 kg of apples is equal to the cost of 24 kg of rice. The cost of 6 kg of flour equals the cost of 2 kg of rice. The cost of each kg of flour is Rs.20.50. Find the total cost of 4 kg of apples, 3 kg of rice and 5 kg of flour?

A. Rs.849.40

B. Rs.877.40

C. Rs.901.60

D. Rs.815.20

✅ The correct answer is option B. Rs.877.40.
Let the costs of each kg of apples and each kg of rice be Rs.a and Rs.r respectively.

10a = 24r and 6 * 20.50 = 2r

a = 12/5 r and r = 61.5

a = 147.6

Required total cost = 4 * 147.6 + 3 * 61.5 + 5 * 20.5

= 590.4 + 184.5 + 102.5 = Rs.877.40

90. The average age of a husband and a wife is 23 years when they were married five years ago but now the average age of the husband, wife and child is 20 years(the child was born during the interval). What is the present age of the child?

A. 1 year

B. 2 years

C. 3 years

D. 4 years

✅ The correct answer is option D. 4 years.
28 * 2 = 56